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Fixed point spaces in actions of classical algebraic groups

Fixed point spaces in actions of classical algebraic groups
Fixed point spaces in actions of classical algebraic groups
Let G be a simple classical algebraic group over an algebraically closed field K of characteristic p ? 0, and let H be a maximal closed non-subspace subgroup of G. Given such a pair (G, H), we obtain a close to best possible upper bound for the ratio dim(xG ? H) / =dim xG, where x ? G is a semisimple or unipotent element of prime order. We apply this result to the study of fixed point spaces.
1433-5883
311-346
Burness, Timothy C.
a3b369f0-16f5-41e6-84d9-5a50f027bcd6
Burness, Timothy C.
a3b369f0-16f5-41e6-84d9-5a50f027bcd6

Burness, Timothy C. (2004) Fixed point spaces in actions of classical algebraic groups. Journal of Group Theory, 7 (3), 311-346. (doi:10.1515/jgth.2004.011).

Record type: Article

Abstract

Let G be a simple classical algebraic group over an algebraically closed field K of characteristic p ? 0, and let H be a maximal closed non-subspace subgroup of G. Given such a pair (G, H), we obtain a close to best possible upper bound for the ratio dim(xG ? H) / =dim xG, where x ? G is a semisimple or unipotent element of prime order. We apply this result to the study of fixed point spaces.

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Published date: April 2004

Identifiers

Local EPrints ID: 46629
URI: http://eprints.soton.ac.uk/id/eprint/46629
ISSN: 1433-5883
PURE UUID: 3d292d5e-6061-448f-9f8a-abf47457799e

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Date deposited: 09 Jul 2007
Last modified: 25 Nov 2019 19:21

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